Question

Find an equation of the line containing the point (-1,3) and perpendicular to the line x+2y=-6.

Answer 1

What is the slope of the line x+2y =6?

Answer 2

\[
x+ 2 y =6\\
2 y = -x + 6\\
y= -\frac 12 x +3
\]

Answer 3

The answer to my first question is -1/2

Answer 4

(-1,3)
The slope of the perpendicular line is 2.
\[

y-3 = 2 (x+1)\\
y= 2 x +2 +3\\
y= 2x +5
\]